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Finding the Fourth Proportional to 488,552,656.40, 732,828,984.60 and 465,877,840.40

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Solution

The fourth proportional to 488,552,656.40, 732,828,984.60 and 465,877,840.40 is: 698,816,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,552,656.40 : 732,828,984.60 = 465,877,840.40 : x
  2. Step 2: Convert to fraction form
    488,552,656.40/732,828,984.60 = 465,877,840.40/x
  3. Step 3: Cross multiply
    488,552,656.40x = 732,828,984.60 × 465,877,840.40
  4. Step 4: Simplify right side
    488,552,656.40x = 341,408,784,727,972,864
  5. Step 5: Solve for x
    x = 341,408,784,727,972,864/488,552,656.40
  6. Step 6: Final answer
    x = 698,816,760.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.